ANALYSIS OF THE SYSTEM OF DIFFERENTIAL EQUATIONS IN SOLVING TWO-DIMENSIONAL PROBLEM PRESSING OF THE STRIP IMPROVING THE METHOD FOR SOLVING THE TWO-DIMENSIONAL PROBLEM OF COMPRESSION OF THE STRIP
DOI:
https://doi.org/10.20535/2305-9001.2016.77.77121Keywords:
strip compression, two-dimensional problem, the stress-strain state, the accumulated strain, the equation of stateAbstract
A method for solving a two-dimensional strip pressing problem was analyzed in order to improve the development and support of computer use of it. As a result of research in the framework of a model nonlinear viscoelastic body was got structure the dependencies stress intensity, accumulated deformation and dimensionless stress state index from the radius and the polar angle. New techniques for the preparation of known dependencies as a system of two ordinary nonlinear differential equations have been proposed. The reduction of this system to a nonlinear differential equation of 2nd order with variable coefficients has been shown. Corresponding information Maple-technologies have been developed.References
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